Sumif Without Duplicate Records

In Column A, is gender: male/female
In Column B, is name: Bob, Jon, Mary, etc
In Column C, is salary: $40, $30, $20, etc.

In column B, there will be instances where a name might appear more than once. I want to be able to do a sumif formula of Column A and Column C, but not include any records where a name in column B is listed more than once. Is there a way to do this?

1 Male Bob $50
2 Female Jane $30
3 Female Kate $20
4 Male Mike $30
5 Male Bob $50

So if I wanted to sum all male salaries above, it would be $80, not $130.